The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 10  1  1  1  1 14  1
 0  1 11  6 13  1  7  8  1 10  5  1 12  1 14  3  1  0
 0  0 12  0  4  8 12  4  4  0  0  8  8 12  4  8  4  0
 0  0  0  8  0  8  8  0  8  0  8  8  8  8  8  0  8  0
 0  0  0  0  8  0  8  0  0  8  8  8  8  0  8  0  0  8

generates a code of length 18 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+22x^14+112x^15+461x^16+988x^17+960x^18+968x^19+448x^20+96x^21+22x^22+8x^23+2x^24+4x^25+4x^26

The gray image is a code over GF(2) with n=144, k=12 and d=56.
This code was found by Heurico 1.16 in 0.0409 seconds.